2. Consider the following augmented matrices describing a system of linear equations: 0. 1 0. -1 0. 0. A = 1 -2 B = 0. 1 3 0 0 0 1. 0 0 0 0. 0. 0 1 1 -3 0 4 2 1 2 0 5 C = 0. 0 1 -5 1. 0 0 D = 0. 0. 0. 0 0 0. 0. 0 0 For each matrix, determine if the system has no solution, one solution and many solutions. If the system has one solution, find this solution. If the system has infinitely many solutions, determine the dependent and independent variables and describe the corresponding relations among these variables.

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